12386905600 has 360 divisors, whose sum is σ = 34010289720. Its totient is φ = 4456857600.

The previous prime is 12386905577. The next prime is 12386905603. The reversal of 12386905600 is 650968321.

It is a super-2 number, since 2×12386905600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386905603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233715174 + ... + 233715226.

It is an arithmetic number, because the mean of its divisors is an integer number (94473027).

Almost surely, 2^12386905600 is an apocalyptic number.

12386905600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12386905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005144860).

12386905600 is an abundant number, since it is smaller than the sum of its proper divisors (21623384120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12386905600 is an equidigital number, since it uses as much as digits as its factorization.

12386905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 12386905600 in words is "twelve billion, three hundred eighty-six million, nine hundred five thousand, six hundred".